2150981585280 has 1024 divisors, whose sum is σ = 8985002112000. Its totient is φ = 480623984640.

The previous prime is 2150981585273. The next prime is 2150981585297. The reversal of 2150981585280 is 825851890512.

2150981585280 is a `hidden beast` number, since 2 + 1 + 50 + 9 + 8 + 1 + 585 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 133618192 + ... + 133634288.

It is an arithmetic number, because the mean of its divisors is an integer number (8774416125).

Almost surely, 2^{2150981585280} is an apocalyptic number.

2150981585280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2150981585280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4492501056000).

2150981585280 is an abundant number, since it is smaller than the sum of its proper divisors (6834020526720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2150981585280 is a wasteful number, since it uses less digits than its factorization.

2150981585280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16192 (or 16174 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 54.

The spelling of 2150981585280 in words is "two trillion, one hundred fifty billion, nine hundred eighty-one million, five hundred eighty-five thousand, two hundred eighty".